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Volumn 5, Issue 7-9, 2000, Pages 1179-1200

Monotonicity and symmetry results for P-Laplace equations and applications

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EID: 0010864095     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (52)

References (11)
  • 1
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    • T. Aubin, Nonlinear analysis on manifolds. Monge-Ampere equations, Springer Verlag, Berlin (1982).
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    • Aubin, T.1
  • 2
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    • An integral inequality
    • G.A. Bliss, An integral inequality, J. London Math Soc., 5 (1930), 40-46.
    • (1930) J. London Math Soc. , vol.5 , pp. 40-46
    • Bliss, G.A.1
  • 3
    • 84894532831 scopus 로고    scopus 로고
    • Radial symmetry for nonnegative solutions of semilinear elliptic problems involving the p-Laplacian, to appear in Calculus of variations, applications and computations
    • Proceedings of a conference in Pont-á-Mousson
    • F. Brock, Radial symmetry for nonnegative solutions of semilinear elliptic problems involving the p-Laplacian, to appear in Calculus of variations, applications and computations, Proceedings of a conference in Pont-?a-Mousson, 1997.
    • (1997)
    • Brock, F.1
  • 4
    • 0003926657 scopus 로고    scopus 로고
    • Continuous rearrangement and symmetry of solutions of elliptic problems
    • Habilitation Thesis, Leipzig
    • F. Brock, Continuous rearrangement and symmetry of solutions of elliptic problems, Habilitation Thesis, Leipzig (1998).
    • (1998)
    • Brock, F.1
  • 5
    • 84894524386 scopus 로고    scopus 로고
    • A symmetry result for overdetermined degenerate elliptic problems
    • preprint
    • F. Brock, A symmetry result for overdetermined degenerate elliptic problems, preprint.
    • Brock, F.1
  • 6
    • 0000685470 scopus 로고    scopus 로고
    • Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
    • L. Damascelli, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results, Ann. Inst. H. Poincaré, 15 (1998), 493-516.
    • (1998) Ann. Inst. H. Poincaré , vol.15 , pp. 493-516
    • Damascelli, L.1
  • 7
    • 0000396386 scopus 로고    scopus 로고
    • Monotonicity and symmetry of solutions of p-Laplace equations 1< p < 2 via the moving plane method
    • L. Damascelli and F. Pacella, Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4) Vol. XXVI (1998), 689-707.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , Issue.4 , pp. 689-707
    • Damascelli, L.1    Pacella, F.2
  • 8
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W.M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68 (1979), 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 9
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • J. Serrin, A symmetry problem in potential theory, Arch. Rational Mech. Anal., 43 (1971), 304-318.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 304-318
    • Serrin, J.1
  • 10
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • G. Talenti, Best constants in Sobolev inequality, Ann. Mat. Pura Appl., 110 (1976), 353-372.
    • (1976) Ann. Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 11
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J.L. Vazquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim., 12 (1984), 191-202.
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vazquez, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.